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4861610640 = 243256752237
BaseRepresentation
bin1001000011100011…
…00100101010010000
3110112210222102001100
410201301210222100
534424033020030
62122225104400
7231322002645
oct44161445220
913483872040
104861610640
112075286037
12b38188100
135c62966b3
14341959dcc
151d6c1c360
hex121c64a90

4861610640 has 60 divisors (see below), whose sum is σ = 16326911484. Its totient is φ = 1296429312.

The previous prime is 4861610623. The next prime is 4861610653. The reversal of 4861610640 is 460161684.

4861610640 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 6 + 1 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2213890704 + 2647719936 = 47052^2 + 51456^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×48616106402 = 47270516029922419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4861610595 and 4861610604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3375399 + ... + 3376838.

Almost surely, 24861610640 is an apocalyptic number.

4861610640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4861610640 is an abundant number, since it is smaller than the sum of its proper divisors (11465300844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4861610640 is a wasteful number, since it uses less digits than its factorization.

4861610640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752256 (or 6752247 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4861610640 is about 69725.2510931298. The cubic root of 4861610640 is about 1694.0519511051.

The spelling of 4861610640 in words is "four billion, eight hundred sixty-one million, six hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6752237 13504474 20256711 27008948 33761185 40513422 54017896 60770133 67522370 81026844 101283555 108035792 121540266 135044740 162053688 202567110 243080532 270089480 303850665 324107376 405134220 486161064 540178960 607701330 810268440 972322128 1215402660 1620536880 2430805320 4861610640